<ol class="abc-list"><li><div class="list-item-paragraph">Use the substitution \(x = \sin \theta\) to find \(\int \frac{2x^2}{\sqrt{1-x^2}} \, \mathrm{d}x\).<span class="inline-marks">[4]</span></div></li><li><ol class="i-list"><li><div class="list-item-paragraph">Find \(\frac{\mathrm{d}}{\mathrm{d}x} \sin(\ln x)\).<span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">Hence, using integration by parts, find \(\int \sin(\ln x) \, \mathrm{d}x\).<span class="inline-marks">[3]</span></div></li></ol></li></ol>

Use the substitution \(x = \sin \theta\) to find \(\int \frac{2x^2}{\sqrt{1-x^2}} \, \mathrm{d}x\).

2024 JPJC Promo Q9

2024 JPJC Promo Q9